What is mantissa of double float?

The mantissa, or significand, of a double-precision floating-point number (double float) represents the significant digits of the number. In the IEEE 754 standard for double precision, the mantissa is typically a 53-bit binary fraction, which allows for high precision in representing real numbers. The value of the double is derived from the mantissa, the exponent, and the sign bit, following the formula: ((-1)^{\text{sign}} \times \text{mantissa} \times 2^{\text{exponent}}). This structure enables the representation of a wide range of values with significant precision.